Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations

By Martin Eckstein, Philipp Werner. 2010

134 citations recorded by the source corpus.

We solve the impurity problem which arises within nonequilibrium dynamical mean-field theory for the Hubbard model by means of a self-consistent perturbation expansion around the atomic limit. While the lowest order, known as the non-crossing approximation (NCA), is reliable only when the interaction U is much larger than the bandwidth, low-order corrections to the NCA turn out to be sufficient to reproduce numerically exact Monte Carlo results in a wide parameter range that covers the insulating phase and the metal-insulator crossover regime at not too low temperatures. As an application of the perturbative strong-coupling impurity solver we investigate the response of the double occupancy in the Mott insulating phase of the Hubbard model to a dynamical change of the interaction or the hopping, a technique which has been used as a probe of the Mott insulating state in ultracold fermionic gases.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/058e51561ef10870be8cae57dbc974dd779928a6

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Nonequilibrium dynamical mean-field theory and its applications (2013, methodology): “In the context of nonequilibrium DMFT, an attractive feature of the perturbative strong-coupling expansion is its conserving nature, and its good convergence properties with increasing order of the approximation in the Mott phase (Eckstein and Werner, 2010).”